Calculus Examples

$x (200 - \frac{x}{30})$

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

$x \cdot 200 + x (- \frac{x}{30})$

Step 1.2

Reorder.

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Step 1.2.1

Move $200$ to the left of $x$ .

$200 \cdot x + x (- \frac{x}{30})$

Step 1.2.2

Rewrite using the commutative property of multiplication.

$200 \cdot x - x \frac{x}{30}$

Step 2

Multiply $- x \frac{x}{30}$ .

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Step 2.1

Combine $\frac{x}{30}$ and $x$ .

$200 x - \frac{x \cdot x}{30}$

Step 2.2

Raise $x$ to the power of $1$ .

$200 x - \frac{x^{1} x}{30}$

Step 2.3

Raise $x$ to the power of $1$ .

$200 x - \frac{x^{1} x^{1}}{30}$

Step 2.4

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$200 x - \frac{x^{1 + 1}}{30}$

Step 2.5

Add $1$ and $1$ .

$200 x - \frac{x^{2}}{30}$